where \(a^{A\dagger }\)  is the creation operator acting on the oscillator \(n^A\) , \(A=0,1\) . This is the state that admits the generalized minimal uncertainty given by the dispersion of the \(\mathrm {SU}(2)\)  Casimir [1]}.
The norm is easily computed \(\langle j,z|j,z\rangle = \langle z|z\rangle ^{2j}\) .
For a fixed spin \(j\) , \(|j,z\rangle \)  serves as an alternative orthonormal basis spanning the representation space \({\mathcal {V}}^j\) . We refer to [2]} for more details.
